A computer algorithm has been developed by means of a minimax approximation to approximate an absorption band by linear combination of several dyes. The minimax approximation always gives feasible solutions and smaller errors than a least-squares method. Suitable computer programs have been developed based on the linear programming theory, and same practical approximations have been demonstrated for spectrally matching colors of human skin, blue sky, and nonselective gray of 50% luminous reflectance with twelve component dyes.